Geometry is filled with problems that seem straightforward but remain unsolved or only partially understood. One such problem ...

The Collatz Conjecture is a deceptively simple math problem. It has only two rules. First, pick any number. If it's even, divide it by two. If it's odd, multiply it by three and add one. This will ...

Proving the “discrete” periodic tiling conjecture for high-dimensional lattices is a slightly different problem than proving the continuous version of the conjecture, as there are tilings that ...

The simple math hid a thorny problem, however, and no one has ever proved the Collatz conjecture. Recently, a mathematician at the University of Hamburg has published a proof of the conjecture.

When she was just 17 years old, Hannah Cairo disproved the Mizohata-Takeuchi conjecture, breaking a four-decade-old ...

A team of mathematicians has solved a math problem first posed more than 40 years ago. It took three mathematicians almost 15 years to solve the famous Rota’s Conjecture – a theory first posed ...

CU Boulder students Clyde Kertzer and Summer Haag disproved a longstanding conjecture in mathematical number theory during their summer research experience.